We prove existence of radial solutions of on the exterior of the ball, of radius R, centered at the origin in such that if R>0 is sufficiently small. We assume is odd and there exists a with f<0 on , f>0 on with f sublinear for large u, and for large r with . We also prove nonexistence if R>0 is sufficiently large.
Submitted March 6, 2017. Published May 16, 2017.
Math Subject Classifications: 34B40, 35B05.
Key Words: Exterior domain; sublinear; radial solution.
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| Janak Joshi |
Department of Mathematics
University of North Texas
Denton, TX 76203, USA
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